Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090bc |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
442 |
Product of Tamagawa factors cp |
deg |
2545920 |
Modular degree for the optimal curve |
Δ |
-692802881491968000 = -1 · 213 · 317 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-678646421,6804713564001] |
[a1,a2,a3,a4,a6] |
Generators |
[15058:-11273:1] |
Generators of the group modulo torsion |
j |
-34566419909754166339572971333329/692802881491968000 |
j-invariant |
L |
7.3628178684571 |
L(r)(E,1)/r! |
Ω |
0.14848516429319 |
Real period |
R |
0.11218601573904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720bn1 36270bb1 60450g1 |
Quadratic twists by: -4 -3 5 |